Updated on 2026/04/10

写真a

 
MINE, Masahiro
 
Affiliation
Affiliated organization, Global Education Center
Job title
Assistant Professor(non-tenure-track)
Degree
Doctor of Science ( 2021.03 Tokyo Institute of Technology )
Homepage URL
https://sites.google.com/view/masaminemath/home

Research Experience

  • 2025.04
    -
    Now

    Waseda University   Global Education Center   Assistant Professor

  • 2023.04
    -
    Now

    Meiji Gakuin University   Part-time Lecturer

  • 2023.09
    -
    2025.03

    Waseda University   Global Education Center   Assistant Professor

  • 2021.04
    -
    2021.08

    Sophia University   Faculty of Science and Technology   JSPS Research Fellow (PD)

  • 2019.04
    -
    2021.03

    Tokyo Institute of Technology   School of Science   JSPS Research Fellow (DC2)

Education Background

  • 2018.04
    -
    2021.03

    Tokyo Institute of Technology   School of Science   Doctoral course  

  • 2016.04
    -
    2018.03

    Tokyo Institute of Technology   School of Science   Master's course  

  • 2012.04
    -
    2016.03

    Tokyo Institute of Technology   School of Science   Bachelor's course  

Professional Memberships

  • 2018.04
    -
    Now

    The Mathematical Society of Japan

Research Areas

  • Algebra   Analytic Number Theory

Research Interests

  • Analytic Number Theory

  • zeta-function

  • L-function

  • probabilistic value-distribution

  • universality theorem

 

Papers

  • A random variable related to the Hurwitz zeta-function with algebraic parameter

    Masahiro Mine

    Acta Arithmetica   221 ( 3 ) 199 - 237  2025.11  [Refereed]  [International journal]

    DOI

  • Large deviations for values of L-functions attached to cusp forms in the level aspect

    Masahiro Mine

    Journal of the Mathematical Society of Japan   75 ( 3 ) 941 - 981  2023.07  [Refereed]  [International journal]

    DOI

    Scopus

    1
    Citation
    (Scopus)

  • The value-distribution of Artin L-functions associated with cubic fields in conductor aspect

    Masahiro Mine

    Mathematische Zeitschrift   304 ( 4 )  2023.07  [Refereed]  [International journal]

    DOI

    Scopus

    1
    Citation
    (Scopus)

  • Probability density functions attached to random Euler products for automorphic L-functions

    Masahiro Mine

    The Quarterly Journal of Mathematics   73 ( 2 ) 397 - 442  2022.06  [Refereed]  [International journal]

    DOI

    Scopus

    3
    Citation
    (Scopus)

  • The density function for the value-distribution of the Lerch zeta-function and its applications

    Masahiro Mine

    Michigan Mathematical Journal   69 ( 4 ) 849 - 889  2020.10  [Refereed]  [International journal]

    DOI

  • On certain mean values of logarithmic derivatives of L-functions and the related density functions

    Masahiro Mine

    Functiones et Approximatio Commentarii Mathematici   61 ( 2 ) 179 - 199  2019.12  [Refereed]  [International journal]

    DOI

    Scopus

    1
    Citation
    (Scopus)

  • On M-functions for the value-distributions of L-functions

    Masahiro Mine

    Lithuanian Mathematical Journal   59 ( 1 ) 96 - 110  2019.01  [Refereed]  [International journal]

    DOI

    Scopus

    1
    Citation
    (Scopus)

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Presentations

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Research Projects

  • Research on zeta-functions and multiple zeta-functions using random Dirichlet series

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research

    Project Year :

    2024.04
    -
    2029.03
     

  • From value distribution until approximation: zeta-functions and their classes

    Japan Society for the Promotion of Science  Bilateral Collaborations

    Project Year :

    2025.07
    -
    2027.06
     

    Kohji Matsumoto

  • Value-distribution theory of zeta and multiple zeta functions

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research

    Project Year :

    2022.04
    -
    2027.03
     

  • Probabilistic models of zeta-functions and applications to number theory

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research

    Project Year :

    2023.03
    -
    2024.03
     

  • On the density functions related to the value-distributions of zeta-functions

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research

    Project Year :

    2019.04
    -
    2021.03
     

    Masahiro Mine

Misc

  • ゼータ関数・L 関数の確率論的値分布

    峰 正博

    第32回整数論サマースクール報告集「ゼータ関数の解析的理論」    2026.01

    Meeting report  

  • An upper bound for the number of smooth values of a polynomial and its applications

    Masahiro Mine

    preprint on arXiv    2024.10

    Internal/External technical report, pre-print, etc.  

    　View Summary

    We provide a new upper bound for the number of smooth values of a polynomial with integer coefficients. This improves Timofeev's previous result unless the polynomial is a product of linear polynomials with integer coefficients. As an application, we fix an error in the proof of a result of Cassels which was used to prove that the Hurwitz zeta-function with algebraic irrational parameter has infinitely many zeros on the domain of convergence. We also apply the main result to a problem on primitive divisors of quadratic polynomials.

  • Hurwitz ゼータ関数の弱い形の強普遍性について

    峰 正博

    京都大学数理解析研究所講究録   2285   121 - 129  2024.06

    Research paper, summary (national, other academic conference)  

  • New developments toward the Gonek Conjecture on the Hurwitz zeta-function

    Masahiro Mine

    preprint on arXiv    2023.05

    Internal/External technical report, pre-print, etc.  

    　View Summary

    In this paper, we prove a version of the universality theorem for the Hurwitz zeta-function in the case where the parameter is algebraic and irrational. Then we apply the result to show that many of such Hurwitz zeta-functions have infinitely many zeros in the right half of the critical strip.

  • On the value-distribution of the logarithms of symmetric power L-functions in the level aspect

    Philippe Lebacque, Kohji Matsumoto, Masahiro Mine, Yumiko Umegaki

    preprint on arXiv    2022.09  [International coauthorship]

    Internal/External technical report, pre-print, etc.  

    　View Summary

    We consider the value distribution of logarithms of symmetric power L-functions associated with newforms of even weight and prime power level. In the symmetric square case, under certain plausible analytical conditions, we prove that certain averages of those values in the level aspect, involving continuous bounded or Riemann integrable test functions, can be written as integrals involving a density function (the "M-function") which is related with the Sato-Tate measure. Moreover, even in the case of general symmetric power L-functions, we show the same type of formula when for some special type of test functions. We see that a kind of parity phenomenon of the density function exists.

  • Riemann ゼータ関数の対数の反復積分に対する極値分布

    峰 正博

    京都大学数理解析研究所講究録   2222   149 - 157  2022.01

    Research paper, summary (national, other academic conference)  

  • On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function II: probabilistic aspects

    Kenta Endo, Shōta Inoue, Masahiro Mine

    preprint on arXiv    2021.05

    Internal/External technical report, pre-print, etc.  

    　View Summary

    In this paper, we discuss the value-distribution of the Riemann
    zeta-function. The authors give some results for the discrepancy estimate and
    large deviations in the limit theorem by Bohr and Jessen.

  • 保型 L 関数の族の値分布について

    峰 正博

    京都大学数理解析研究所講究録   2162   1 - 9  2020.07

    Research paper, summary (national, other academic conference)  

  • Hurwitz ゼータ関数の値分布とそれに関連する密度関数

    峰 正博

    京都大学数理解析研究所講究録   2131   62 - 70  2019.10

    Research paper, summary (national, other academic conference)  

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Syllabus

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Teaching Experience

  • EEMST102基礎数学2

    明治学院大学  

    2025.09
    -
    2026.03
     

  • 数学基礎プラスγ（微分積分学編）03

    早稲田大学  

    2025.09
    -
    2025.12
     

  • 数学基礎プラスγ（線形代数学編）03

    早稲田大学  

    2025.09
    -
    2025.12
     

  • 数学基礎プラスβ（金利編）03

    早稲田大学  

    2025.09
    -
    2025.12
     

  • 数学基礎プラスβ（最適化編）03

    早稲田大学  

    2025.09
    -
    2025.12
     

  • 数学基礎プラスα（金利編）03

    早稲田大学  

    2025.09
    -
    2025.12
     

  • 数学基礎プラスα（最適化編）03

    早稲田大学  

    2025.09
    -
    2025.12
     

  • EEMST101基礎数学1

    明治学院大学  

    2025.04
    -
    2025.08
     

  • 数学基礎プラスγ（微分積分学編）02

    早稲田大学  

    2025.06
    -
    2025.07
     

  • 数学基礎プラスγ（線形代数学編）02

    早稲田大学  

    2025.06
    -
    2025.07
     

  • 数学基礎プラスβ（金利編）02

    早稲田大学  

    2025.06
    -
    2025.07
     

  • 数学基礎プラスβ（最適化編）02

    早稲田大学  

    2025.06
    -
    2025.07
     

  • 数学基礎プラスα（金利編）02

    早稲田大学  

    2025.06
    -
    2025.07
     

  • 数学基礎プラスα（最適化編）02

    早稲田大学  

    2025.06
    -
    2025.07
     

  • 数学基礎プラスα（金利編）01

    早稲田大学  

    2025.04
    -
    2025.06
     

  • 数学基礎プラスα（最適化編）01

    早稲田大学  

    2025.04
    -
    2025.06
     

  • EEMST102基礎数学2

    明治学院大学  

    2024.09
    -
    2025.03
     

  • 数学基礎プラスβ（最適化編）03

    早稲田大学  

    2024.09
    -
    2024.12
     

  • 数学基礎プラスβ（金利編）03

    早稲田大学  

    2024.09
    -
    2024.12
     

  • 数学基礎プラスα（最適化編）03

    早稲田大学  

    2024.09
    -
    2024.12
     

  • 数学基礎プラスα（金利編）03

    早稲田大学  

    2024.09
    -
    2024.12
     

  • EEMST101基礎数学1

    明治学院大学  

    2024.04
    -
    2024.08
     

  • 数学基礎プラスα（金利編）02

    早稲田大学  

    2024.06
    -
    2024.07
     

  • 数学基礎プラスα（最適化編）02

    早稲田大学  

    2024.06
    -
    2024.07
     

  • 数学基礎プラスα（金利編）01

    早稲田大学  

    2024.04
    -
    2024.06
     

  • 数学基礎プラスα（最適化編）01

    早稲田大学  

    2024.04
    -
    2024.06
     

  • EEMST102基礎数学2

    明治学院大学  

    2023.09
    -
    2024.03
     

  • 数学基礎プラスα（最適化編）03

    早稲田大学  

    2023.09
    -
    2023.12
     

  • MGMAT113数学3/D1405数学5

    明治学院大学  

    2023.04
    -
    2023.08
     

  • MGMAT111数学1/D1403数学3

    明治学院大学  

    2023.04
    -
    2023.08
     

  • EEMST101基礎数学1

    明治学院大学  

    2023.04
    -
    2023.08
     

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Academic Activities